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1996 On the Mann and Ishikawa iteration processes
Zhou Haiyun, Jia Yuting
Abstr. Appl. Anal. 1(4): 341-349 (1996). DOI: 10.1155/S1085337596000188

Abstract

It is shown that a result of Chidume, involving the strong convergence of the Mann iteration process for continuous strongly accretive operators, is actually a corollary to a result by Nevanlinna and Reich. It is then shown that the Nevanlinna and Reich result can be extended to the case of an Ishikawa iteration process.

Citation

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Zhou Haiyun. Jia Yuting. "On the Mann and Ishikawa iteration processes." Abstr. Appl. Anal. 1 (4) 341 - 349, 1996. https://doi.org/10.1155/S1085337596000188

Information

Published: 1996
First available in Project Euclid: 7 April 2003

zbMATH: 0943.47052
MathSciNet: MR1481547
Digital Object Identifier: 10.1155/S1085337596000188

Subjects:
Primary: 47H17

Keywords: accretive operator , Ishikawa iteration process , Mann iteration process , uniformly convex dual of a Banach space

Rights: Copyright © 1996 Hindawi

Vol.1 • No. 4 • 1996
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